I think my biggest issue here is thinking of entropy as a “winding down”. Entropy is a key feature of how the universe works. It’s hard to envision how energy would every be useful if it always stayed in the same state.
As to God adding more energy, well, that may as be, but unfortunately for the physical universe as we understand it, if there’s a finite amount of energy, then eventually the cosmic bookkeeping comes into play. It’s hardly just theological thinkers that ran up against this problem and found it unpalatable. Einstein’s Cosmological Constant was inserted into General Relativity because one of the key features of GR is that the Universe has a starting point, has a finite amount of energy, and thus not only does it have a start, but it also has some sort of an end.
The Cosmological Constant added a constant amount of matter and/or energy being continuously added to the Universe to preserve the old Static Universe model (which had, in one form or another been the default view since Newton’s time). Einstein threw the Cosmological Constant into GR to get rid of the expansion that was inherent in General Relativity. When Hubble discovered the red shift of distant galaxies, this pretty much blew the Cosmological Constant out of the water, hence Einstein calling it the “greatest mistake of my career.” The Universe is indeed expanding, most certainly started in some sort of incredibly high energy state of incredible density and temperature, and through cosmological inflation and the expansion that followed (the Big Bang), came to be the largely homogeneous universe we see today. It would be a very dull universe otherwise.